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1. Simple Continued Fraction Expansions of Some Values of Certain Hypergeometric Functions

Author

Takao Komatsu

Subjects
Maple, Algebra, Pure mathematics, Simple (abstract algebra), engineering, Mathematics::Metric Geometry, Elementary function, Fraction (mathematics), Hypergeometric function, engineering.material, Mathematics
Abstract

The hypergeometric series reduce to many elementary functions. Many of them are known to have the continued fraction expansions. Few of them for certain values, however, are known to have the simple continued fraction expansions which keep reg- ularities. In this paper we show more simple continued fraction expansions holding regularities.

Published
2003

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